A particle has displacement y given by y...

A particle has displacement y given by `y =3 sin (5 pi t + pi)`, where y is in meter and t is in second. What are frequency and period of motion ?

0.4 Hz, 2.5 s

2.5 Hz, 0.4 s

2.5 Hz, 2.S s

0.4 Hz, 0.4 s

Text Solution

AI Generated Solution

Topper's Solved these Questions

OSCILLATIONS
SL ARORA|Exercise Problems for self practice|67 Videos
MOTION IN ONE DIMENSION
SL ARORA|Exercise problems for self practice|66 Videos
Physical world
SL ARORA|Exercise Exercise|49 Videos

Similar Questions

Explore conceptually related problems

The displacment of particle performing a linear S.H.M. is given by x=5 "sin" (8pi+pi//3) , where x is in metre and t is in second. The frequency and period of S.H.M. are given by

The displacement of a string fixed at both the ends is given by y= 0.8 sin ((pi x)/(3)) cos (60 pi t) where y and x in metres and t is in second. What is the wavelength and frequency of the two interfering waves ?

The displacement of a particle executing S.H.M. is given by y = 10 sin [6t + (pi)/(3)] where y is in metres and t is in seconds. Then the initial displacement and velocity of the particle is

A particle executes S.H.M. given by the equation y = 0.45 sin 2t where y is in meter and t is in second. What is the speed of the particle when its displacement is 7.5 cm?

The motion of a particle executing SHM in one dimension is described by x = -0.5 sin(2 t + pi//4) where x is in meters and t in seconds. The frequency of oscillation in Hz is

The displacement of a particle performing a S.H.M. is given by x=0.5 "sin" 100 pi (t + 0.05) , where x is in metres and t is in second. Its periodic time in second is

The equation of a transverse wave is given by y=10 sin pi (0.01 x -2t ) where x and y are in cm and t is in second. Its frequency is

A particle is executing a motion in which its displacement as a function of time is given by x = 3 sin (5 pi t + pi//3) + cos (5pi + pi//3) where x is in m and t is in s . Then the motion is

SL ARORA-OSCILLATIONS-Exercise

A lactometer whose mass is 0.2kg is floating vertically in a liquid of...
Text Solution
|
A simple harmonic motion is represented by F(t)=10sin(20t+0.5). The am...
Text Solution
|
A particle has displacement y given by y =3 sin (5 pi t + pi), where y...
Text Solution
|
The motion of a particle executing SHM in one dimension is described b...
Text Solution
|
A particle executing simple harmonic motion has a time period of 4 s. ...
Text Solution
|
A particle executes simple harmonic motion of amplitude A along the x ...
Text Solution
|
The displacement of a particle from its mean position (in metre) is gi...
Text Solution
|
Two simple harmonic motions are represented by y(1)=5 [sin 2 pi t + sq...
Text Solution
|
Two pendulums have time period T and 5T/4. They starts SHM at the same...
Text Solution
|
A particle executes SHM of amplitude A. If T1 and T2 are the times tak...
Text Solution
|
Velocity of a body moving in simple harmonic motion is
Text Solution
|
A body is executing the S.H.M. with an angular frequency of 2 rad/sec....
Text Solution
|
A particle is executing SHM of amplitude 10 cm. Its time period of osc...
Text Solution
|
A particles is SHM is described by the displacement function x(t)= a...
Text Solution
|
A particle executes SHM, its time period is 16 s. If it passes through...
Text Solution
|
The magnitude of acceleration of particle executing SHM at the positio...
Text Solution
|
The maximum velocity and the maximum acceleration of a body moving in ...
Text Solution
|
A particle executing S.H.M. having amplitude 0.01 m and frequency 60 H...
Text Solution
|
A particle executing simple harmonic motion has an amplitude of 6 cm ....
Text Solution
|
If x = R sin omega t + R omega t and y = R cos(omega t) + R (where ome...
Text Solution
|